Sentence examples for problems the existence from inspiring English sources

For example, for fractional initial value problems, the existence and multiplicity of solutions were discussed in [4, 9 11].

Namely, we have studied, among other problems, the existence of bounded solutions to equation (1) when (k=2) in two different ways.

In a wide range of mathematical problems the existence of a solution is equivalent to the existence of a fixed point for a suitable map.

For a number of problems, the existence of curated databases including only contextual data, useful for sequence and functional annotation, can play an important roll for denoising data analysis results and highlight small but important signals in the data.

In this problem, the existence of more than one edge between the nodes was allowed.

For the third-order boundary-value problem, the existence and multiplicity of solutions have also been discussed in many papers (see [6 11] and the references therein).

Some discontinuities are allowed in all the variables and we prove for this problem the existence of solutions lying between lower and upper solutions.

It is well known that optimization problems can be transformed to the problems of the existence of a best proximity point.

One of the major problems is the existence of a too large flux solution space in optimization problems.

The first of these problems involves the existence of empty names: names which have no referent.

This paper aims to investigate the problems of the existence, uniqueness and solution representation of (1.11).